Sketch the curve

a)Given the curve y = 3x2 + 3x + 10 and the line y = 5x + 35
i)Sketch the curve and the line on the same graph and find the two interception points graphically;
ii)Find also the two interception points by manual calculation; and
iii)Find the volume generated by revolving the area bounded by the curve and the line about the x-axis.

b)The curve y = 4x2 + 3x + 20 is rotated 360°about:
i)the x-axis between the limits of x = 1 to x = 5; and
ii)the y-axis between the limits of y = 30 to y = 60 for positive values of x.
Find the volume of the solid of revolution produced in each of the cases above.